# Archive for September, 2010

## Graphing Ideas for Whole Group, Center and Guided Math Lessons

The beginning of the school year is a great time to start your graphing routines.  At my schools we do Friday Graphing Days.  We devote Fridays to fun graphing activities and problem solving.  On Graphing day, we collect some data (birthdays, clothing, food, pets etc.).  We do this as a whole group activity in the beginning of the year.  As the year progresses, the students can do some of these activities in centers.  When I am teaching them to record their own graphs, I pull small groups.

http://www.abcteach.com/free/p/pic_graph_afterschool.pdf

*October is National Cookie month.  I read Cookie Count this fantastic pop-up book and then we vote for and graph our favorite cookies.  Then, of course we have a cookie party.

Important Steps for Graphing Activities:

We collect, plot, analyze and then interpret and discuss the implications of the data.  It is important to do all the steps.  Oftentimes, we tend to collect, plot and analyze but rarely interpret or discuss the implications of the data.  I think we should collect data that we use.  So students begin to see graphing as more than just something we do in school.  So, although graphs like “How many buttons do you have?”  are fun…would we ever really do that in real life and for what reason?:)

Use the data:

For instance, we would graph how many people are right-handed and how many people are left handed and then we would discuss the implications.  If we have 2 left handed people, what does that mean?  Do we have enough left-handed scissors?

Work that data set:

We can use that same data set in different types of graphs over a few Fridays.

We can make a frequency table, a tally chart, a pictograph, and a bar graph.

What they look like:

Make sure your BAR graphs pass the 5 finger rule: title, categories, numbers, label on the x axis and label on the y axis. Often times we forget to label the axis! We have to REMEMBER to LABEL the AXES.  This is on the tests that the upper elementary students have to take and they often miss it.

Oftentimes in the primary grades we do object graphs.  For example, if we are graphing pets, we put up pictures of all the options.  On most standardized tests, they have 1 symbol that represents however many votes.  In the primary grades we can do 1 symbol 1 vote.  By second grade we should be doing 2 or more votes per symbol.  (So students have to skip count to calculate the total votes).

Have the students make their own graphs at some point.

MATH TALK:

When talking about graphs make sure you emphasize the use of math words.  Once we have a graph up, the first question I  ask is:

1.  What did you notice?  What wows you?

2.  What do you wonder?

What was the most…?  What was the least?  How many…?  Why?

cut and paste this url: http://www.primaryresources.co.uk/maths/mathsF1c.htm#bar

MUST SEE SITE FROM JMEACHAM (ENOUGH IDEAS TO LAST YOU THROUGHOUT THE YEAR!!! You can work the ideas up and down…be sure to label all the graphs correctly:

More ideas:

http://www.vennlogic.com/documents/MMCLessons68/GRAPHING%20IDEAS.doc

http://www.kinderpond.com/graphing.html

http://www.abc123kindergarten.com/graphmka2001.html

http://www.mrsmcgowan.com/math/graphs.htm

http://www.primaryresources.co.uk/maths/mathsF1.htm

http://abcteach.com/directory/basics/math/graphing/

Great Teacher Resource Graphing Books:

http://astore.amazon.com/drnisgumabl-20?_encoding=UTF8&node=15

(be sure to click on the books and buy the used ones that are in good shape….I get some of my books for like 50 cents plus shipping!)

Bonus Stuff:

The great candy graphing lesson plans

http://www.atozteacherstuff.com/pdf.htm?m&mschart.pdf

http://www.learnnc.org/lp/pages/3165

http://alex.state.al.us/lesson_view.php?id=12547

*Be sure to look for tomorrow’s post on glyphs! It’s a really cool way to collect data:)

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## 5 Dice/Number Cubes Games and Guided Math

Talk about a great manipulative with endless possibilities. Dice games are great because they can be based on skill, luck or planning (http://www.activityvillage.co.uk/dice_game_score_charts.htm). I am just going to discuss 5 great ways to use dice (or as many districts prefer  on calling them: number cubes).  I especially like dice games because you can differentiate the lessons by differentiating the dice.

1. Virtual Dice!!! This is soooo cool! You can roll them and play all kinds of games with your students. For example, roll them and ask for students to name all the different ways to make the sum that comes up. (You’re really playing the equivalent name game.)

http://www.curriculumbits.com/prodimages/details/maths/mat0005.html

http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks1/maths/dice/

http://dice.virtuworld.net/

http://www.random.org/dice/?num=2

Roll and Compare Sum or Product Template: http://www.activityvillage.co.uk/dice_game_score_charts.htm

3. Roll and make the biggest or lowest number you can http://www.unpracticalmath.com/applets/virtual_dice.html

A. What number did you roll?

B. Spell it.

C. Write a number that is one more (the number after)

D. One less (the number before)

E. Equal to ( 2 +3 = 4 +1)

F. Add Ten More. Spell that number.

G. What number is ten less? Spell that number.

H. Tell a number story about these dice/ this number

I. Is the number or sum odd or even and why?

J. If I was skip counting by 2’s, (or 5’s, or 10’s) would I say this number?

K. How far away from a ten is this number?

L. What happens if we double this number?

M. Add lucky 8 to this number (remember how to add 8’s quick)

N. Add lucky 9 to this number (remember how to add 9’s quick)

O. Add zero to this number. What happens anytime we add zero?

5. Fact Family Templates (Remember this is practice at the abstract level)

http://mathwire.com/strategies/matsff.html

http://mathwire.com/templates/factfamily.pdf

UEN also has a great fact family dice template.

Management Tip: Make a tumbler out of 2 plastic clear (see through) cups sealed with tape around the middle. Put the dice in the tumbler (I get foam dice to decrease noise level). NO MORE DICE ON THE FLOOR. Students look in the tumbler and read the number at the bottom or the number that is showing! Works like a charm everytime.
Resources: Favorite Dice Supplier: http://www.boxcarsandoneeyedjacks.com/

I also buy these large, foam, multicolored dice that have numbers up to at least 10 on them from the Oriental Trading Company.  They are great for differentiation.